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Finding the Fourth Proportional to 481.66, 721.27 and 345.58

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Solution

The fourth proportional to 481.66, 721.27 and 345.58 is: 517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.66 : 721.27 = 345.58 : x
  2. Step 2: Convert to fraction form
    481.66/721.27 = 345.58/x
  3. Step 3: Cross multiply
    481.66x = 721.27 × 345.58
  4. Step 4: Simplify right side
    481.66x = 249,256.49
  5. Step 5: Solve for x
    x = 249,256.49/481.66
  6. Step 6: Final answer
    x = 517.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.